Dynamic adaptivity and residual control in unsteady compressible flow computation

Authors:
T. Sonar;V. Hannemann;D. Hempel
Affiliations:
Institut für Theoretische Strömungsmechanik, DLR Göttingen Bunsenstraβe 10, D-37073 Göttingen, Germany;Institut für Theoretische Strömungsmechanik, DLR Göttingen Bunsenstraβe 10, D-37073 Göttingen, Germany;Institut für Theoretische Strömungsmechanik, DLR Göttingen Bunsenstraβe 10, D-37073 Göttingen, Germany
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1994

Citing 3
Cited 0

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Adaptive finite element methods for parabolic problems. I.: a linear model problem

SIAM Journal on Numerical Analysis
Strong and weak norm refinement indicators based on the finite element residual for compressible flow computation I: the steady case

IMPACT of Computing in Science and Engineering

Quantified Score

Hi-index	0.98

Visualization

Abstract

To resolve the details of flow in complicated multi-dimensional cases, the necessary amount of computer time and memory exceeds the capability of most modern high speed computers, such that adaptive methods are in the current center of interest. In this paper, we summarize our work concerning a dynamical adaptive finite volume method for the numerical computation of inviscid compressible flow in the plane and describe the refinement indicator used in unsteady and steady flow. Thus, this paper can be viewed as the second part to [1]. The method described belongs to the class of box schemes and works on general triangulations. The adaptive techniques used are point insertion/removing algorithms and some effort was undertaken to develop residual based refinement indicators.